213288129600 has 672 divisors, whose sum is σ = 873174946560. Its totient is φ = 44378357760.

The previous prime is 213288129569. The next prime is 213288129601. The reversal of 213288129600 is 6921882312.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (213288129601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31883056 + ... + 31889744.

It is an arithmetic number, because the mean of its divisors is an integer number (1299367480).

Almost surely, 2^213288129600 is an apocalyptic number.

213288129600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213288129600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436587473280).

213288129600 is an abundant number, since it is smaller than the sum of its proper divisors (659886816960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213288129600 is a wasteful number, since it uses less digits than its factorization.

213288129600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6807 (or 6792 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 213288129600 in words is "two hundred thirteen billion, two hundred eighty-eight million, one hundred twenty-nine thousand, six hundred".